F. Duzaar

activity

20092026

most citedLocal Lipschitz regularity for degenerate elliptic systems

99 citations · 153 across the 17 of their papers we have counts for

collaborators

Showing 2025 · math.APShow all

3 papers · 2 filters

math.AP2025

Parabolic PDEs with Dynamic Data under a Bounded Slope Condition

Verena Bögelein, Frank Duzaar, Giulia Treu

We establish the existence of Lipschitz continuous solutions to the Cauchy Dirichlet problem for a class of evolutionary partial differential equations of the form $$ \partial_tu-\…

math.AP2025

Gradient estimates for the fractional $p$ -Poisson equation

Verena Bögelein, Frank Duzaar, Naian Liao +1

We consider local weak solutions to the fractional $p$ -Poisson equation of order $s$ , i.e. $(- Δ_{p})^{s} u = f$ . In the range $p > 1$ and $s \in (\frac{p - 1}{p}, 1)$ we…

math.AP2025

Local boundedness and higher integrability for the sub-critical singular porous medium system

Verena Bögelein, Frank Duzaar, Ugo Gianazza +1

The gradient of weak solutions to porous medium-type equations or systems possesses a higher integrability than the one assumed in the pure notion of a solution. We settle the crit…

Parabolic PDEs with Dynamic Data under a Bounded Slope Condition

Gradient estimates for the fractional p-Poisson equation

Local boundedness and higher integrability for the sub-critical singular porous medium system

Gradient estimates for the fractional $p$ -Poisson equation